How do you translate one more than the difference between 
18 and seven times a number is -9 into an equation?
"The words "is -9" is the right side of the equation and on the end
of the equation will be " = -9"
Now we'll do the left side of the equation:
"X more than Y"  means "Y+X"
So 
"one more than the difference between 18 and seven times a number is -9
is a case of "X more than Y", where
X = "one",  and
Y = "the difference between 18 and seven times a number"
So Y + X = "the difference between 18 and seven times a number" + "one"
or using the number 1 instead of the word "one":
So Y + X = "the difference between 18 and seven times a number" + 1
-----
Next, "The difference between Z and W"  means Z-W, where
Z = 18 and W = "seven times a number"
So Z-W = (18-"seven times a number")
So far we have 
Y + X = ("the difference between 18 and seven times a number") + 1
So far we have
"18-"seven times a number" + 1
----------------------------
"X times Y" means X∙Y
So "seven times a number"  means "7 ∙ a number"
So far we have:
("18-"seven times a number") + 1 which means
("18-"7 ∙ a number") + 1
-----------------------------
"a number" means the unknown variable, say N
So far, we have 
("18-"7 ∙ a number") + 1
which becomes:
("18-"7 ∙ N") + 1 or 
"(18-7N) + 1" 
And finally we put on the right side " = -9 "
(18-7N) + 1 = -9
Edwin